869536635968 has 336 divisors, whose sum is σ = 2373909245568. Its totient is φ = 310625280000.

The previous prime is 869536635937. The next prime is 869536635971.

869536635968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×869536635968² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 869536635895 and 869536635904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67709228 + ... + 67722068.

It is an arithmetic number, because the mean of its divisors is an integer number (7065206088).

Almost surely, 2^869536635968 is an apocalyptic number.

869536635968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869536635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186954622784).

869536635968 is an abundant number, since it is smaller than the sum of its proper divisors (1504372609600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

869536635968 is a wasteful number, since it uses less digits than its factorization.

869536635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13025 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 74.

It can be divided in two parts, 8695 and 36635968, that added together give a palindrome (36644663).

The spelling of 869536635968 in words is "eight hundred sixty-nine billion, five hundred thirty-six million, six hundred thirty-five thousand, nine hundred sixty-eight".